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Arbeitsgruppe Numerik

Sekretariat
Kollegiengebäude Mathematik (20.30)
Zimmer 3.002 (3. OG)

Adresse
Karlsruher Institut für Technologie
Institut für Angewandte und Numerische Mathematik 1
Englerstr. 2
76131 Karlsruhe

Öffnungszeiten:
Montag bis Freitag 10-11 Uhr

Kontakt:
Telefon:0721 608-42061
Fax:0721 608-43767
E-Mail:na-sek@math.kit.edu

Veröffentlichungen

Sortiert nach , Autor (Bitte Umlaute ausschreiben, also bswp. 'ö' zu 'oe'.)

[1] S. Buchholz, L. Gauckler, V. Grimm, M. Hochbruck und T. Jahnke
Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations
IMA J. Numer. Anal., pp. 1—18 (online first) (2017)
Preprint, Paper, BibTex

[2] P. Ciarlet, S. Fliss und C. Stohrer
On the approximation of electromagnetic fields by edge finite elements. Part 2: A heterogeneous multiscale method for Maxwell's equations
Comput. Math. Appl., vol. 73, no. 9, pp. 1900—1919 (2017)
Preprint, Paper, BibTex

[3] L. Fath, M. Hochbruck und C.V. Singh
A fast mollified impulse method for biomolecular atomistic simulations
J. Comp. Phys., vol. 333, pp. 180—198 (2017)
Preprint, Paper, BibTex

[4] T. Göckler und V. Grimm
Acceleration of contour integration techniques by rational Krylov subspace methods
J. Comp. Appl. Math., vol. 316, pp. 133—142 (2017)
Preprint, Paper, BibTex

[5] V. Grimm
Implementation of digcrete gradient methods for dissipative PDEs in image processing on GPUs
Proceedings of Geometric Numerical Integration and its Applications, MI Lecture Note Series, Kyushu University, Japan, vol. 74, pp. 69—71 (2017)
Preprint, Paper, BibTex

[6] V. Grimm und T. Göckler
Automatic smoothness detection of the resolvent Krylov subspace method for the approximation of $C_0$-semigroups
SIAM Journal on Numerical Analysis, vol. 55, no. 3, pp. 1483—1504 (2017)
Preprint, Paper, BibTex

[7] M. Hochbruck und T. Pažur
Error analysis of implicit Euler methods for quasilinear hyperbolic evolution equations
Numerische Mathematik, vol. 135, no. 2, pp. 547—569 (2017)
Preprint, Paper, BibTex

[8] V. Grimm, R. I. McLachlan, D. I. McLaren, G. R. W. Quispel und C.-B. Schönlieb
Discrete gradient methods for solving variational image regularisation models
Journal of Physics. A. Mathematical and Theoretical, vol. 50, no. 29, pp. 0—21 (online first) (2017)
Preprint, Paper, BibTex

[9] D. Arjmand und C. Stohrer
A Finite Element Heterogeneous Multiscale Method with Improved Control over the Modeling Error
Commun. Math. Sci., vol. 14, no. 2, pp. 463—487 (2016)
Preprint, Paper, BibTex

[10] J. Deppler, B. Braun, A. Fidlin und M. Hochbruck
Convergence of viscoelastic constraints to nonholonomic idealization
European Journal of Mechanics - A/Solids, vol. 58, pp. 140—147 (2016)
Preprint, Paper, BibTex

[11] M. Hochbruck und A. Sturm
Error analysis of a second-order locally implicit method for linear Maxwell's equations
SIAM J. Numer. Anal., vol. 54, no. 5, pp. 3167-3191 (2016)
Preprint, Paper, BibTex

[12] N. Nedialkoav, K. Jackson und M. Neher
On the Blunting Method in Verified Integration of ODEs
Rel. Comp., vol. 23, pp. 15—34 (2016)
Preprint, Paper, BibTex

[13] D. Cohen und J. Schweitzer
High order numerical methods for highly oscillatory problems
M2NA, vol. 49, no. 3, pp. 695—711 (2015)
Preprint, Paper, BibTex

[14] A. Demirel, J. Niegemann, K. Busch und M. Hochbruck
Efficient Multiple Time-Stepping Algorithms of Higher Order
J. Comp. Phys., vol. 285, pp. 133—148 (2015)
Preprint, Paper, BibTex

[15] M. Hochbruck, T. Jahnke und R. Schnaubelt
Convergence of an ADI splitting for Maxwell's equations
Numerische Mathematik, vol. 129, pp. 535—561 (2015)
Preprint, Paper, BibTex

[16] M. Hochbruck und T. Pažur
Implicit Runge—Kutta methods and discontinuous Galerkin discretizations for linear Maxwell's equations
SIAM J. Numer. Anal., vol. 53, no. 1, pp. 485—507 (2015)
Preprint, Paper, BibTex

[17] M. Hochbruck, T. Pažur, A. Schulz, E. Thawinan und C. Wieners
Efficient time integration for discontinuous Galerkin approximations of linear wave equations
ZAMM, vol. 95, no. 3, pp. 237—259 (2015)
Preprint, Paper, BibTex

[18] P. Ciarlet Jr., S. Fliss und C. Stohrer
Finite Element Heterogeneous Multiscale Method for Maxwell's Equations in Frequency Domain
in Proceedings of the 12th International Conference on the Mathematical and Numerical Aspects of Waves (2015)
Preprint, Paper, BibTex

[19] A. Abdulle, M. J. Grote und C. Stohrer
Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects
Multiscale Model. Simul., vol. 12, no. 3, pp. 1230—1257 (2014)
Preprint, Paper, BibTex

[20] R. Andreev und J. Schweitzer
Conditional Space-Time Stability of Collocation Runge-Kutta for Parabolic Evolution Equations
ETNA, no. 41, pp. 62—80 (2014)
Preprint, Paper, BibTex

[21] P. Ciarlet Jr. und C. Stohrer
Finite Element Heterogeneous Multiscale Method for the classical Helmholtz Equation
C. R. Acad. Sci., vol. 352, pp. 755—760 (2014)
Preprint, Paper, BibTex

[22] D. Hipp und M. Hochbruck
A preconditioned Krylov method for an exponential integrator for non-autonomous parabolic systems
Oberwolfach Reports, vol. 11, no. 1, pp. 822—824 (2014)
Preprint, Paper, BibTex

[23] D. Hipp, M. Hochbruck und A. Ostermann
An exponential integrator for non-autonomous parabolic problems
ETNA, vol. 41, pp. 497—511 (2014)
Preprint, Paper, BibTex

[24] T. Göckler
Rational Krylov subspace methods for phi-functions in exponential integrators
Karlsruhe Institute of Technology (KIT), Germany (July 2014)
Preprint, Paper, BibTex

[25] T. Göckler und V. Grimm
Uniform approximation of $\varphi$-functions in exponential integrators by a rational Krylov subspace method with simple poles
SIAM J. Matrix Anal. Appl., vol. 35, no. 4, pp. 1467—1489 (2014)
Preprint, Paper, BibTex

[26] A. Abdulle, M. J. Grote und C. Stohrer
FE Heterogeneous Multiscale Method for Long-Time Wave Propagation
C. R. Acad. Sci., vol. Ser I., no. 351, pp. 495—499 (2013)
Preprint, Paper, BibTex

[27] M. A. Botchev, V. Grimm und M. Hochbruck
Residual, restarting and Richardson iteration for the matrix exponential
SIAM J. Sci. Comput., vol. 35, no. 3, pp. A1376-A1397 (2013)
Preprint, Paper, BibTex

[28] T. Göckler und V. Grimm
Convergence analysis of an extended Krylov subspace method for the approximation of operator functions in exponential integrators
SIAM Journal on Numerical Analysis, vol. 51, no. 4, pp. 2189—2213 (2013)
Preprint, Paper, BibTex

[29] A. Abdulle, M. J. Grote und C. Stohrer
Finite Element Heterogeneous Multiscale Method for the Wave Equ ation: Long-Time Effects
in Proceedings of the 11th International Conference on the Mathematical and Numerical Aspects of Waves pp. 233—234 (2013)
Preprint, Paper, BibTex

[30] M. J. Grote, A. Abdulle und C. Stohrer
Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects
in Computational Electromagnetism and Acoustics , Oberwolfach Reports , vol. 10, no. 1 pp. 185—189 (2013)
Preprint, Paper, BibTex

[31] C. Stohrer
Finite Element Heterogeneous Multiscale Methods for the Wave Equation
University of Basel (2013)
Preprint, Paper, BibTex

[32] A. Wortmann
Positivity Preservation in the Simulation of Relativistic Laser-Plasma Interaction
Karlsruhe Institute of Technology (KIT), Germany (July 2013)
Preprint, Paper, BibTex

[33] E. Celledoni, V. Grimm, R. I. McLachlan, D. I. McLaren, D. O'Neale, B. Owren und G. R. W. Quispel
Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field'' method
J. Comput. Phys., vol. 231, pp. 6670—6789 (2012)
Preprint, Paper, BibTex

[34] V. Grimm
Resolvent Krylov subspace approximation to operator functions
BIT Numerical Mathematics, vol. 52, pp. 639—659 (2012)
Preprint, Paper, BibTex

[35] D. Hipp, M. Hochbruck und A. Ostermann
Exponential integrators for parabolic problems with time dependent coefficients
Oberwolfach Reports, vol. 9, no. 4, pp. 3602—3606 (2012)
Preprint, Paper, BibTex

[36] M. Gugat und V. Grimm
Optimal boundary control of the wave equation with pointwise control constraints
Comput. Optim. Appl., no. 1, pp. 123—147 (2011)
Preprint, Paper, BibTex

[37] M. Hochbruck und A. Ostermann
Exponential multistep methods of Adams-type
BIT, vol. 51, pp. 889-908 (2011)
Preprint, Paper, BibTex

[38] A. Abdulle, M. J. Grote und C. Stohrer
Finite Element Heterogeneous Multiscale Method for Transient Wave Propagation
in Proceedings of the 10th International Conference on the Mathematical and Numerical Aspects of Waves pp. 45—48 (2011)
Preprint, Paper, BibTex

[39] V. Grimm und M. Gugat
Approximation of semigroups and related operator functions by resolvent series
SIAM Journal on Numerical Analysis, vol. 48, no. 5, pp. 1826—1845 (2010)
Preprint, Paper, BibTex

[40] M. Hochbruck und D. Löchel
A multilevel Jacobi-Davidson method for polynomial PDE eigenvalue problems arising in plasma physics
SIAM Journal on Scientific Computing, vol. 32, no. 6, pp. 3151—3169 (2010)
Preprint, Paper, BibTex

[41] M. Hochbruck und A. Ostermann
Exponential integrators
Acta Numerica, vol. 19, pp. 209-286 (2010)
Preprint (© Cambridge University Press), Paper, BibTex

[42] M. Hochbruck und M. Hönig
On the convergence of a regularizing Levenberg-Marquardt scheme for nonlinear ill-posed problems
Numerische Mathematik, vol. 115, no. 1, pp. 71—79 (2010)
Preprint, Paper, BibTex

[43] T. Tückmantel, A. Pukhov, J. Liljo und M. Hochbruck
Three-dimensional relativistic particle-in-cell hybrid code based on an exponential integrator
IEEE Transactions on Plasma Science, vol. 38, no. 9, pp. 2383-2389 (2010)
Preprint, Paper, BibTex

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